Predictability of evolutionary trajectories in fitness landscapes.
Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness landscape. We report an exhaustive analysis of fitness landscapes...
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Public Library of Science (PLoS)
2011
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oai:doaj.org-article:4a480d0839954830b8e1433829248b142021-11-18T05:51:44ZPredictability of evolutionary trajectories in fitness landscapes.1553-734X1553-735810.1371/journal.pcbi.1002302https://doaj.org/article/4a480d0839954830b8e1433829248b142011-12-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22194675/pdf/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness landscape. We report an exhaustive analysis of fitness landscapes constructed with an off-lattice model of protein folding where fitness is equated with robustness to misfolding. This model mimics the essential features of the interactions between amino acids, is consistent with the key paradigms of protein folding and reproduces the universal distribution of evolutionary rates among orthologous proteins. We introduce mean path divergence as a quantitative measure of the degree to which the starting and ending points determine the path of evolution in fitness landscapes. Global measures of landscape roughness are good predictors of path divergence in all studied landscapes: the mean path divergence is greater in smooth landscapes than in rough ones. The model-derived and experimental landscapes are significantly smoother than random landscapes and resemble additive landscapes perturbed with moderate amounts of noise; thus, these landscapes are substantially robust to mutation. The model landscapes show a deficit of suboptimal peaks even compared with noisy additive landscapes with similar overall roughness. We suggest that smoothness and the substantial deficit of peaks in the fitness landscapes of protein evolution are fundamental consequences of the physics of protein folding.Alexander E LobkovskyYuri I WolfEugene V KooninPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 7, Iss 12, p e1002302 (2011) |
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Biology (General) QH301-705.5 Alexander E Lobkovsky Yuri I Wolf Eugene V Koonin Predictability of evolutionary trajectories in fitness landscapes. |
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Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness landscape. We report an exhaustive analysis of fitness landscapes constructed with an off-lattice model of protein folding where fitness is equated with robustness to misfolding. This model mimics the essential features of the interactions between amino acids, is consistent with the key paradigms of protein folding and reproduces the universal distribution of evolutionary rates among orthologous proteins. We introduce mean path divergence as a quantitative measure of the degree to which the starting and ending points determine the path of evolution in fitness landscapes. Global measures of landscape roughness are good predictors of path divergence in all studied landscapes: the mean path divergence is greater in smooth landscapes than in rough ones. The model-derived and experimental landscapes are significantly smoother than random landscapes and resemble additive landscapes perturbed with moderate amounts of noise; thus, these landscapes are substantially robust to mutation. The model landscapes show a deficit of suboptimal peaks even compared with noisy additive landscapes with similar overall roughness. We suggest that smoothness and the substantial deficit of peaks in the fitness landscapes of protein evolution are fundamental consequences of the physics of protein folding. |
format |
article |
author |
Alexander E Lobkovsky Yuri I Wolf Eugene V Koonin |
author_facet |
Alexander E Lobkovsky Yuri I Wolf Eugene V Koonin |
author_sort |
Alexander E Lobkovsky |
title |
Predictability of evolutionary trajectories in fitness landscapes. |
title_short |
Predictability of evolutionary trajectories in fitness landscapes. |
title_full |
Predictability of evolutionary trajectories in fitness landscapes. |
title_fullStr |
Predictability of evolutionary trajectories in fitness landscapes. |
title_full_unstemmed |
Predictability of evolutionary trajectories in fitness landscapes. |
title_sort |
predictability of evolutionary trajectories in fitness landscapes. |
publisher |
Public Library of Science (PLoS) |
publishDate |
2011 |
url |
https://doaj.org/article/4a480d0839954830b8e1433829248b14 |
work_keys_str_mv |
AT alexanderelobkovsky predictabilityofevolutionarytrajectoriesinfitnesslandscapes AT yuriiwolf predictabilityofevolutionarytrajectoriesinfitnesslandscapes AT eugenevkoonin predictabilityofevolutionarytrajectoriesinfitnesslandscapes |
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1718424723763757056 |